Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512bk |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
101797420032 = 210 · 36 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-534315,-150329482] |
[a1,a2,a3,a4,a6] |
Generators |
[860741:41033572:343] |
Generators of the group modulo torsion |
j |
22598953394030500/136367 |
j-invariant |
L |
7.6533848848904 |
L(r)(E,1)/r! |
Ω |
0.1765835376738 |
Real period |
R |
10.835360126683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14168h2 |
Quadratic twists by: -3 |